Useful for the students who prepare for numerical aptitude in recruitment process.

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2. X and Y invest in a business in the ratio 3:2.
If X’s share is Rs.1035, then Y’s share is
A)775 B) 580 C) 725 D) 690
Y’s share =
2
3
∗ 1035 = 2 * 345 = 690

3. A and B entered into partnership in the ratio 4: 5
After 3 months, A withdrew one fourth of his capital and
B withdrew one-fifth of his capital.
The gain at the end of 10 months was Rs.380. B’s share in this profit is
A) 115 B) 215 C) 165 D) 175
Ratio of investment = 4x:5x
Ratio of profit = (3 x 4x) + (7 x 3x) : (3 x 5x) + (7 x 4x)
= 33x : 43x
Total profit = 76x = 380  x = 5
Profit share for B = 43 x 5 = 215

4. A, B and C join in a business. A invest Rs.6000 for 5 months.
B, Rs.8000 for 5 months and C Rs.10,000 for 3 months.
A wants to be working member with 10% profit.
The overall profit is Rs.2000. Calculate the share of B and C.
A) Rs.720, Rs.600 B) Rs.720, Rs.540 C) Rs.620, Rs.600 D) Rs.720, Rs.740
Ratio of profit = 6000 * 5 : 8000 * 5 : 10000 * 3
=30: 40:30
= 3:4:3
Profit for A = 200
Balance after given to A = 1800
Share of B =
4
10
∗1800 = Rs.720
Share of C =
3
10
∗1800 = Rs.540

5. Akila and Bindhu invest in a business in the ratio 3:2.
The total profit is Rs.12000.
If 5% of the total profit is paid as tax, what is Akila’s share?
a) Rs.6820 b) Rs.6480 c) Rs.6408 d) Rs.6840
Tax = 12000 * 5% = 600
Balance Profit = 11400
Akila’s share =
3
5
* 11400
= 3*2280
= Rs.6840

6. A starts business with Rs.4200 and after 5 months, B joins with
A as his partner. After a year, the profit is divided in the ratio
3:2. What is B’s contribution in the capital?
a) Rs.4200 b) Rs.4800 c) Rs.3200 d) Rs.5400
Profit sharing ratio = 4200 * 12 : x * 7 = 3:2
4200 ∗12
x ∗ 7
=
3
2
2(600 * 12) = 3 x
1200 * 4 = x
B’s contribution = Rs.4800

7. Jack divides Rs.12900 among 5 sons, 4 daughters and 2 nephews.
If each daughter receives four times as much as each nephew and
each son receives five times as much as each nephew,
how much as each daughter receive?
a)Rs.200 b)Rs.300 c)Rs.400 d)Rs.500
Given 5(5 nephew) + 4( 4 nephew) + 2 nephew = 12900
43 nephew = 12900
Nephew = 300
Each daughter receive =Rs.1200

8. Rs.40 is paid towards typing a research report.
Typist A produces 84 pages and typist B produces 56 pages.
How much should typist A receive?
a) Rs.24 b) Rs.26 c) Rs.28 d) Rs.30
Ratio of work by A and B = 84 : 56 = 12 : 8 = 3: 2
A should receive = (3/5)* 40 = Rs.24

9. A and B invested equal amount of capital in a business.
At the end of the first year A and B shared the profit in the ratio 4:3.
If A had invested for the whole year, after how many months did B join
the business?
a) 9 months b) 4 months c) 3 months d) 2 months
Since A invested for the whole year, the ratio 4:3 becomes 1 :
3
4
No of months B in the business =
3
4
* 12 = 9 months.
No of months before B join the business = 3 months.

10. A and B invest Rs.60000 and Rs.80000 in a business.
A receives Rs.200 every month as he manages the business operations.
The rest of the profit is shared as per the ratio of the investments.
If A receives Rs.5100 per year, how much does B receive?
a) Rs.3600 b) Rs.4200 c) Rs.5800 d) None of these
Amount received by A per month = Rs.200
Amount received by A for full year = Rs.2400
Amount received by A including profit = Rs.5100
Amount received by A for profit alone = Rs.5100 – 2400 = Rs.2700.
Profit share as per investment = 6 : 8 = 3: 4
Profit share for B =
4
3
* 2700 = Rs.3600

11. Varun started a business with Rs.8400 and
after 6 months, Sanjay joins with Varun as his partner.
After a year, the profit is divided in the ratio 7:5 between Varun and Sanjay.
What is Sanjay’s contribution in the capital?
a)Rs.12000 b) Rs.10000 c) Rs.8000 d) Rs.6000
Ratio of profit = 8400 x 12 : Sanjay capital x 6 = 7 : 5
8400 x 12 x 5 = Sanjay capital x 6 x 7
Sanjay capital =
8400 ∗12 ∗5
6 ∗ 7
= 200 * 60
= Rs.12000